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Finding the Fourth Proportional to 223,829.50, 335,744.30 and 74,029.60

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Solution

The fourth proportional to 223,829.50, 335,744.30 and 74,029.60 is: 111,044.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,829.50 : 335,744.30 = 74,029.60 : x
  2. Step 2: Convert to fraction form
    223,829.50/335,744.30 = 74,029.60/x
  3. Step 3: Cross multiply
    223,829.50x = 335,744.30 × 74,029.60
  4. Step 4: Simplify right side
    223,829.50x = 24,855,016,231.28
  5. Step 5: Solve for x
    x = 24,855,016,231.28/223,829.50
  6. Step 6: Final answer
    x = 111,044.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.